Frequency and phase locking of noise-sustained oscillations in coupled excitable systems: Array-enhanced resonances

Changsong ZHOU; Jürgen Kurths; Bambi Hu

doi:10.1103/PhysRevE.67.030101

Frequency and phase locking of noise-sustained oscillations in coupled excitable systems: Array-enhanced resonances

Changsong ZHOU^*
, Jürgen Kurths
, Bambi Hu

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

68 Citations (Scopus)

Abstract

We study the interplay among noise, weak driving signal and coupling in excitable FitzHugh-Nagumo neurons. Due to coupling, noise-sustained oscillations become locked to the signal as functions of both signal frequency and noise intensity. Higher order [Formula presented] locking tongues and various array-enhanced resonance features are demonstrated. This resonance and locking behavior due to a time scale matching between noise-sustained oscillations and the signal is fundamentally different from stochastic resonance in usual noisy threshold elements.

Original language	English
Journal	Physical Review E
Volume	67
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.67.030101
Publication status	Published - Mar 2003

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10.1103/PhysRevE.67.030101

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@article{7657effe14fa4ddf9099d10f64e49b74,

title = "Frequency and phase locking of noise-sustained oscillations in coupled excitable systems: Array-enhanced resonances",

abstract = "We study the interplay among noise, weak driving signal and coupling in excitable FitzHugh-Nagumo neurons. Due to coupling, noise-sustained oscillations become locked to the signal as functions of both signal frequency and noise intensity. Higher order [Formula presented] locking tongues and various array-enhanced resonance features are demonstrated. This resonance and locking behavior due to a time scale matching between noise-sustained oscillations and the signal is fundamentally different from stochastic resonance in usual noisy threshold elements.",

author = "Changsong ZHOU and J{\"u}rgen Kurths and Bambi Hu",

note = "This work is supported by the Humboldt Foundation \textasciitilde{}C.Z.!, and SFB 555 \textasciitilde{}D.F.G.!, and the Hong Kong Research Grants Council \textasciitilde{}R.G.C.!.",

year = "2003",

month = mar,

doi = "10.1103/PhysRevE.67.030101",

language = "English",

volume = "67",

journal = "Physical Review E",

issn = "2470-0045",

publisher = "American Physical Society",

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TY - JOUR

T1 - Frequency and phase locking of noise-sustained oscillations in coupled excitable systems

T2 - Array-enhanced resonances

AU - ZHOU, Changsong

AU - Kurths, Jürgen

AU - Hu, Bambi

N1 - This work is supported by the Humboldt Foundation ~C.Z.!, and SFB 555 ~D.F.G.!, and the Hong Kong Research Grants Council ~R.G.C.!.

PY - 2003/3

Y1 - 2003/3

N2 - We study the interplay among noise, weak driving signal and coupling in excitable FitzHugh-Nagumo neurons. Due to coupling, noise-sustained oscillations become locked to the signal as functions of both signal frequency and noise intensity. Higher order [Formula presented] locking tongues and various array-enhanced resonance features are demonstrated. This resonance and locking behavior due to a time scale matching between noise-sustained oscillations and the signal is fundamentally different from stochastic resonance in usual noisy threshold elements.

AB - We study the interplay among noise, weak driving signal and coupling in excitable FitzHugh-Nagumo neurons. Due to coupling, noise-sustained oscillations become locked to the signal as functions of both signal frequency and noise intensity. Higher order [Formula presented] locking tongues and various array-enhanced resonance features are demonstrated. This resonance and locking behavior due to a time scale matching between noise-sustained oscillations and the signal is fundamentally different from stochastic resonance in usual noisy threshold elements.

UR - https://www.scopus.com/pages/publications/42749100928

U2 - 10.1103/PhysRevE.67.030101

DO - 10.1103/PhysRevE.67.030101

M3 - Journal article

AN - SCOPUS:42749100928

SN - 2470-0045

VL - 67

JO - Physical Review E

JF - Physical Review E

IS - 3

ER -

Frequency and phase locking of noise-sustained oscillations in coupled excitable systems: Array-enhanced resonances

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